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    [技术]Arizona眼睛模型 [复制链接]

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    离线infotek
     
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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 p6Z|)1O]  
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    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 j+@3.^vK  
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    模型 ^=5x1<a9$  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 z;!"i~fFK  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. <Se9 aD  
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    光源 {`G d  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 5C&*PJ~WA  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 *= ?|n   
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 r0 )ne|&Hp  
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    图2. 字母F光源的设定方法光 }z x ~  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 ddyX+.LMk  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 "L:4 7!8  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 EG;E !0  
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    图5. 视网膜重点采样规格设定
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    脚本 CF2Bd:mfZ  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: RGE(#   
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 6:O<k2=2  
    余下的脚本计算与屈光度有关的所有参数。 *Ud(HMTe  
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    分析 X 3$ W60Q  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ;,C]WZ.w  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 k(l2`I4V  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ~DI$O[KpR%  
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    Dim entity As T_ENTITY 0(D^NtB7  
    Dim op As T_OPERATION >w@+cUto  
    Dim mat As T_MODELMATERIAL RhH 1nf2UR  
    Dim A As Double Y~-y\l;Tr  
    Dim pupilDiam As Double &~ y)b`r  
    Dim eID As Long kkF)Tro\  
    Dim parID As Long *[3xc*5F/A  
    Dim count As Integer &$F<]]&  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double FM >ae-L-  
    Dim tlens As Double, nlens As Double :x)H!z P  
    Dim curv As Double, conic As Double LdV&G/G-#D  
    Dim ok As Long yZ|"qP1  
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    Sub Main .p&@;fZ  
    ~ELMLwn.  
        '用户输入对话框 'J|)4OG:  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 QEhn  
            TextBox 220,21,40,21,.TextBox1 'default: 0 :TH cI;PG8  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 !hBpon  
            OKButton 40,91,90,21 ?;XEb\Kf  
            CancelButton 190,91,90,21 f'^uuO#x  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 LH8jT  
            TextBox 220,49,40,21,.TextBox2 'default: 4 [y[d7V9_o  
        End Dialog D(#f`Fj;  
        Dim dlg As UserDialog GiV %Hcx  
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        ok = Dialog (dlg) &X$T "Dp  
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        If ok=0 Then    'cancel button was pressed &9p!J(C  
            Print "Execution cancelled." /o9T [ ^\  
            End .$qa?$@  
        End If n qcq3o*B  
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        'Assign accommodation and pupil diameter & use defaults if field left empty \k.`xG?  
        If dlg.TextBox1 = "" Then 7K1-.uQ  
            A = 0           'Default accommodation QJGGce  
        Else WQK<z!W5  
            A = CDbl(dlg.TextBox1) z8Q!~NN-K  
        End If $YL9 vJV  
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        If dlg.TextBox2 = "" Then Ts5)r(  
            pupilDiam = 4   'Default pupil diameter jFj11w1FrA  
        Else 6#?T?!vZ  
            pupilDiam = CDbl(dlg.TextBox2) 2$JGhgDI  
        End If /4:bx#;A  
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        Print " " 1 em,/> "  
        Print "Accommodation = " & A & " Diopters" Z/#_Swv  
        Print "Pupil Diameter = " & pupilDiam & " mm" y_Y(Xx3  
    Z2% HQL2  
        ' Calculate new parameters with accommodation m[9.'@ ye  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness -@W9+Zf5  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ?\}Gi(VVE  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens pP. _%5  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens U v2.Jo/Q  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens `ONjEl  
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        tlens = 3.767 + 0.04*A                  'Lens thickness X'Ss#s>g  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction N9e'jM>Oos  
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        'Adjust parameters to account for accommodation P6:9o}K6  
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        '************************************************************************* |VBt:dd<  
        'Aqueous thickness (Position of Lens) TR"C<&y$j  
        '************************************************************************* [2%[~&4  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) :RaQ =C  
        GetCustomElement eID, entity Ot=jwvw  
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        parID = FindFullName( "Geometry.Arizona Eye" ) {keZ_2  
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        ' Delete any shift(s) in z :cT)M(o  
        count = 0 $@g]?*L:  
        While GetOperationCount(eID)>count D -}>28  
            GetOperation eID, count, op h [TwaR  
            If op.Type="ShiftZ" Then Njq}M/{U  
                DeleteOperation eID,count [BWq9uE  
                count=count-1 o<`vh*U@,4  
            End If `+7F H  
            count=count+1 fqNh\~kja  
        Wend 6EqA Y`y  
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        'Set new shift in |LHJRP-Z  
        op.Type = "ShiftZ" U( YAI%O  
        op.val1 = taq  *}?[tR5  
        op.parent = parID Dd3f@b[WX  
        AddOperation eID, op i_Kwxn$  
        Print "Set aqueous humor thickness = " & taq-0.55 zp:dArh0  
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        '************************************************************************* =7Ln&tZ  
        'Radius and conic constant of anterior lens ("$/sT  
        '************************************************************************* peQwH  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Ltlp9 S  
        GetConic eID, entity, curv, conic /<LZt<K  
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        SetConic eID, entity, 1/Rant, CCant 5{ c;I<0  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Ayz*2 N`%  
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        '************************************************************************* TCr4-"`r-{  
        'Radius and conic constant of posterior lens T(J'p4  
        '************************************************************************* ER0 Yl  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) EX8JlA\-W  
        GetConic eID, entity, curv, conic d?,'$$aB  
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        SetConic eID, entity, 1/Rpost, CCpost c[dSO(=  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost : 4ryi&Y  
    /K=OsMl2b8  
        '************************************************************************* x/|W;8g4  
        'Lens thickness (Position of posterior lens surface) (q)}`1d'  
        '************************************************************************* *"%TAe7?~+  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Z 3BwbH  
    <Ap_#  
        ' Delete any z-shift(s) f|[7LIdh-  
        count = 0 bI):-2&s}  
        While GetOperationCount(eID)>count {u'szO}k  
            GetOperation eID, count, op ,jU>V]YC  
            If op.Type="ShiftZ" Then qu=~\t1[6  
                DeleteOperation eID,count 1w,_D.1'  
                count=count-1 ]so/AdT9hA  
            End If crmQn ^4\  
            count=count+1 Llfl I   
        Wend rQ*+ <`R}  
    M/ 3;-g  
        'Set new z-shift _l d.Xmvd  
        op.Type = "ShiftZ" 0'^M}&zCi  
        op.val1 = tlens ,K5K?C$k  
        op.parent = parID ddn IKkOp  
        AddOperation eID, op {K^5q{u  
        Print "Set lens thickness = " & tlens |G j.E  
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        '************************************************************************* 5 jrR]X  
        'Lens index of refraction ZO+RE7f*?c  
        '************************************************************************* tXE/aY*I  
        eID = FindMaterial( "Lens" ) a>4/2#J  
        GetModelMaterial eID, mat Xdvd\H=  
    7HkO:/  
        mat.Nd = nlens eI8o#4nT  
        SetModelMaterial eID, mat NdK`-RT  
        Print "Set lens index of refraction = " & nlens $^x=i;>aK.  
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        '************************************************************************* ^ u$gO3D  
        'Pupil diameter #MC#K{Xd  
        '************************************************************************* ,Ag{-&  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) GM|& ,}  
    FZ*"^=)`G  
        'Adjust pupil diameter (trimming volume inner hole) K1 f1 T  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" kQ\GVI11?  
    >+O0W)g{o  
        ' Adjust pupil location to just in front of the lens ~WrpJjI[  
        parID = FindFullName( "Geometry.Arizona Eye" ) oodA&0{)d  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) r O87V!Cj  
        count = 0 [^"}jbn/  
        While GetOperationCount(eID)>count 2> a&m>  
            GetOperation eID, count, op ;~3;CijJ8  
            If op.Type="ShiftZ" Then FPc `J  
                DeleteOperation eID,count pH~\~  
                count=count-1 [s}W47N1  
            End If }T_"Vg q  
            count=count+1 tI^91I  
        Wend GRc)3 2,  
        op.Type = "ShiftZ" V_i&@<J  
        op.val1 = taq-0.01 PKlR_#EB?  
        op.parent = parID EU(e5vO  
        AddOperation eID, op !(*&P  
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        Print "Set pupil diameter = " & pupilDiam PqspoH 0OI  
    QPuc{NcB>  
        'Update AZ Eye subassembly Description N8]DzE0%  
        eID = FindFullName( "Geometry.Arizona Eye" ) FH</[7f;@N  
        GetEntity eID, entity ,e'r 0  
        entity.Description = "Accommodation = " & A & "D" ;CO qu#(  
        SetEntity eID, entity b>5* G1  
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        Update G}U <^]c  
        Print "DONE!" ~n -N  
         BOpZ8p'eH1  
    End Sub 2)BO@]n  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: gX"  
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    Accommodation = 4 Diopters KKwM\   
    Pupil Diameter = 4 mm RIkIE=+6  
    Set aqueous humor thickness = 2.81 8kKL=  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 NG3?OAQTw  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 5,xPB5pK  
    Set lens thickness = 3.927 ybpOk  
    Set lens index of refraction = 1.42672 CUDA<Fm  
    Set pupil diameter = 4 7a[6@  
    DONE! 0 Rb3| te  
     
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